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Finding the Fourth Proportional to 324,021.28, 486,049.20 and 102,388

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Solution

The fourth proportional to 324,021.28, 486,049.20 and 102,388 is: 153,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,021.28 : 486,049.20 = 102,388 : x
  2. Step 2: Convert to fraction form
    324,021.28/486,049.20 = 102,388/x
  3. Step 3: Cross multiply
    324,021.28x = 486,049.20 × 102,388
  4. Step 4: Simplify right side
    324,021.28x = 49,765,605,489.60
  5. Step 5: Solve for x
    x = 49,765,605,489.60/324,021.28
  6. Step 6: Final answer
    x = 153,587.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.